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Finding the Fourth Proportional to 355,904.48, 491,148.22 and 194,759.53

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Solution

The fourth proportional to 355,904.48, 491,148.22 and 194,759.53 is: 268,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,904.48 : 491,148.22 = 194,759.53 : x
  2. Step 2: Convert to fraction form
    355,904.48/491,148.22 = 194,759.53/x
  3. Step 3: Cross multiply
    355,904.48x = 491,148.22 × 194,759.53
  4. Step 4: Simplify right side
    355,904.48x = 95,655,796,487.54
  5. Step 5: Solve for x
    x = 95,655,796,487.54/355,904.48
  6. Step 6: Final answer
    x = 268,768.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.